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home / study / math / calculus / calculus questions and answers / The Arc Of The Parabola Y= Sqrt(x-6) From X=7 To X= 15 Is Rotated About The X-axis Find The ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: The arc of the parabola y= sqrt(x-6) from x=7 to x= 15 is rotated about the x-axis find the area ... the arc of the parabola y= sqrt(x-6) from x=7 to x= 15 is rotated about the y-axis find the area of the resulting surface using S = 2 pi integral a to b r(y) sqrt(1 +(dx/dy)^2) dy

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5.
(a) Find the length of the given line, C, using calculus and the
arc length formula:
C: ? = ? + 5 , 1 ≤ x ≤ 2
(b) Revolve the curve above, C, around the x-axis and find the
surface area of the resulting surface of revolution.

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Find the exact area of the surface obtained by rotating the
curve about the x axis.
1. Original problem y= x^3 from 0 < x < 2
I got up to the SA= 2 pi the integral of 1 to 145 of (x^3)(the
square root of (1+9x^4))dx
I don't know how to integrate from this part on to get the exact
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generated by rotating the region R bounded by x= 4y and y= x^1/3
about the line y= 2. Include a sketch of the region R. (Do
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